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Middle Years

4.10 Discriminant and parabolas

Interactive practice questions

Consider a parabola of the form $y=ax^2+bx+c$y=ax2+bx+c, where $a>0$a>0

a

Which of the following statements is true?

The vertex of the parabola is a maximum point.

A

The vertex of the parabola is a minimum point.

B
b

Each parabola below has an equation of the form $y=ax^2+bx+c$y=ax2+bx+c.

Select all the graphs for which $a>0$a>0

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A

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B

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C

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D
Easy
< 1min

Consider the equation $4x^2+4x-6=0$4x2+4x6=0.

Medium
1min

Consider the equation $4x^2-4x+1=0$4x24x+1=0.

Medium
1min

To find the $x$x-intercepts of a particular parabola, $ax^2+bx+c=0$ax2+bx+c=0, Katrina used the quadratic formula and found that $b^2-4ac=-5$b24ac=5. How many $x$x-intercepts does the parabola have?

Easy
< 1min
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